Yes, you will need the bearing puller. Beyond that, you may run into MAJOR difficulties with corrosion of the bolts. That nearly necessitated cutting the half shaft when I had to have my rear wheel bearing replaced ('95 model). Luckily, the mechanic I took the car to was knowledgeable and resourceful, and got at the bearing without having to sacrifice the axle.
Bottom line from my perspective-- depending upon one's mechanical knowledge and aptitude, the job can be a major one, and the unknown added complications from corrosion or whatever else on an older car (yours is two years older than mine) mean you're better off taking the car to a trusted mechanic.